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Simplifying 2(2x + 1) = 3x + -4(1 + -1x) Reorder the terms: 2(1 + 2x) = 3x + -4(1 + -1x) (1 * 2 + 2x * 2) = 3x + -4(1 + -1x) (2 + 4x) = 3x + -4(1 + -1x) 2 + 4x = 3x + (1 * -4 + -1x * -4) 2 + 4x = 3x + (-4 + 4x) Reorder the terms: 2 + 4x = -4 + 3x + 4x Combine like terms: 3x + 4x = 7x 2 + 4x = -4 + 7x Solving 2 + 4x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 4x + -7x = -4 + 7x + -7x Combine like terms: 4x + -7x = -3x 2 + -3x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -3x = -4 + 0 2 + -3x = -4 Add '-2' to each side of the equation. 2 + -2 + -3x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -4 + -2 -3x = -4 + -2 Combine like terms: -4 + -2 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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